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Least Common Multiple (LCM) of 76 and 32

The least common multiple (LCM) of 76 and 32 is 608.

What is the Least Common Multiple (LCM)?

The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.

Formula for LCM

The LCM of two numbers can be calculated using their GCD:

LCM(a, b) = |a × b| ÷ GCD(a, b)

How to Calculate the LCM of 76 and 32?

First, calculate the GCD of 76 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.

Step-by-Step GCD Calculation

StepCalculation
1 76 ÷ 32 = 2 remainder 12
2 32 ÷ 12 = 2 remainder 8
3 12 ÷ 8 = 1 remainder 4
4 8 ÷ 4 = 2 remainder 0

Examples of LCM Calculations

NumbersLCM
51 and 1216171
99 and 1019999
133 and 8611438
54 and 36108
48 and 773696

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